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Important Questions

Rotational Motion of a Rigid Body: Moment of Inertia

ICSE · Class 11 · Physics

Most important questions from Rotational Motion of a Rigid Body: Moment of Inertia for ICSE Class 11 Physics board exam 2026. MCQs, short answer, and long answer questions with marks.

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A 3D diagram illustrating the definition of torque (τ = r x F). It shows a force vector (F) applied at a point with position vector (r) relative to an origin, and the resulting torque vector (τ) perpe
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51 Questions·
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Sample Questions

1multiple choice
3 marks

A body has angular momentum 24 kg m²/s and moment of inertia 8.0 kg m². If the angular momentum remains constant and the moment of inertia becomes 6.0 kg m², what is the new angular velocity?

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4.0 rad/s

Since L = Iω remains constant, first confirm L = 24 kg m²/s. For the new situation, ω = L/I = 24/6.0 = 4.0 rad/s.

2multiple choice
3 marks

A ring of mass 4.0 kg and radius 0.50 m rotates about its central axis perpendicular to its plane with angular velocity 10 rad/s. What is its rotational kinetic energy?

Show answer

50 J

For a ring about its central axis, I = MR² = 4.0 × 0.50² = 4.0 × 0.25 = 1.0 kg m². Then K = 1/2 Iω² = 1/2 × 1.0 × 10² = 50 J.

3multiple choice
3 marks

A rigid body has moment of inertia 9.0 kg m² and rotational kinetic energy 72 J. What is its angular velocity?

Show answer

4.0 rad/s

Use K = 1/2 Iω². So 72 = 1/2 × 9.0 × ω² = 4.5ω². Hence ω² = 16 and ω = 4.0 rad/s.

4multiple choice
3 marks

A body with angular momentum 30 kg m²/s has its moment of inertia reduced from 10 kg m² to 6.0 kg m² without external torque. What is the ratio of the final angular velocity to the initial angular velocity?

Show answer

5/3

With no external torque, Iω is constant. So I₁ω₁ = I₂ω₂. Therefore ω₂/ω₁ = I₁/I₂ = 10/6 = 5/3.

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What are the important topics in Rotational Motion of a Rigid Body: Moment of Inertia for ICSE Class 11 Physics?
Rotational Motion of a Rigid Body: Moment of Inertia covers several key topics that are frequently asked in ICSE Class 11 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Rotational Motion of a Rigid Body: Moment of Inertia — ICSE Class 11 Physics?
Understand the core concepts first, then work through the 51 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many important questions are there in Rotational Motion of a Rigid Body: Moment of Inertia?
There are 51 practice questions available for Rotational Motion of a Rigid Body: Moment of Inertia. These cover multiple question types including MCQs, short answer, and long answer questions.

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